HARD
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IMPORTANT
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A uniform rod of length l  is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from the axis, then which of the following graphs depicts it most closely?

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Important Questions on Kinematics

MEDIUM
JEE Main
IMPORTANT
A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t1 and t2 are the values of the time taken by it to hit the target in two possible ways, the product t1t2 is:
MEDIUM
JEE Main
IMPORTANT
A particle is moving with speed v=bx along positive x- axis. Calculate the speed of the particle at time t=τ (assume that the particle is at origin at t=0 )
MEDIUM
JEE Main
IMPORTANT
Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, h1 and h2. Which of the following is correct?
MEDIUM
JEE Main
IMPORTANT
A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60o with ground level, but he finds the aeroplane right vertically above his position. If v is the speed of sound, speed of the plane is:
MEDIUM
JEE Main
IMPORTANT
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in the same direction, and (ii) in the opposite directions is:
EASY
JEE Main
IMPORTANT

Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed ω. At t=0, their positions and direction of motion are shown in the figure:

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The relative velocity VA-VB at t=π2ω is given by:

HARD
JEE Main
IMPORTANT
A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the nth power of R. If the period of rotation of the particle is T, then:
EASY
JEE Main
IMPORTANT
All the graphs below are intended to represent the same motion. One of them does it incorrectly. Select the incorrect option.